{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x805b6a0>,\n",
       " <matplotlib.lines.Line2D at 0x805ba20>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = np.arange(1, 7)\n",
    "plt.plot(y-1)\n",
    "plt.plot(y)\n",
    "plt.plot(y+1)\n",
    "plt.plot(y-1,y,y+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x809a2b0>,\n",
       " <matplotlib.lines.Line2D at 0x809a6d8>,\n",
       " <matplotlib.lines.Line2D at 0x809aa90>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y, 'r', y+1, 'y', y+2, 'b') "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x8303390>,\n",
       " <matplotlib.lines.Line2D at 0x8303780>,\n",
       " <matplotlib.lines.Line2D at 0x8303b38>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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gTxO70iYqmHtGdeTe0R19UtrnSpYpCXGOHvjiAard1bwz4R1CnCE8MvQRsyP5xplX40rBjg9g52IYcBsMuN2yW6p6vZrKejcRQU4CnXY2F5ey53glbaKCSYtpOfcp5MxJIX6E1po1R9cwe9ts/jLkL0QGRrLj1A5igmJICLHeTAnAWJK+Y6FxjuPgu6DrpVBbDtoDwdFmp/MZrTWXPL2C9nGhzJzUCwC3x4vD3jxj9nLmpBA/k8fr4ZMDn5BfkM+2k9uIC45jX9k+eib0JDsm2+x4vuGqhc1vwMqn4ORuiG4PZ26uBkWYm81HKmpdLCssYVz3FJRSXNqrDXHh3+4R01ylfa6kuIX4jlp3Le/ufpeXt75McWUxbSPa8tDAhxjfYbx1N30647XLoGgFJPeEK182lqZbdd+UBq+vOcCji3fQJTmCjPgwpgxub3akRpGhEiGAsroy3tz5JrO3z+ZU7Sm6xXVjWs40RqSNsO6mT+WHjXMch94DAaHGike7A9qfZ9lNn8qqXTz24Q7GdU9mcGYc5bUu9p+oontqlNnRZKhEiHP1x5V/5NMDnzKkzRCm5UwjNzHXulP6Sgph5ZOw6U1j3Dp9AGSNgqyRZifzmYpaF+FBToICbCzfXUKnxDAGZ8YREeRsEaV9ruSKW7RKR6uO8q+v/8WtPW4lLTyNXad34dVeOsV0Mjua79RXwzu3GDNEHIHQ63oYeIexiMbCHpy/ha8PlLLoriEopXB5vDhb4Ni1XHEL8QOqXFWEOkNRKD4/+DnDUoeRFp5GVnSW2dF8Q2so2QEJnSEgxJgxMuw+6DcdwuLNTucTbo+Xj7YeY3TXRJx2G0Mz42gfG4rbq3HaVYss7XMlV9zC8s5s+pRXkEeAPYCXxrwEGDcigxxBJqfzEY/LOLBgxZPG1qp3b7HkRk/fZ+nO40zJX8sz1/Xmom7JZsdpNLniFgJweVx8sO8DXi54mT1le0gJTeGGrjegtUYpZc3Srq+C9bOMZenlxZDQBcY/aen51x6v5qklu0iMCOKafukMy4rnlWn9GJIZZ3Y0n5HiFpZT5apiXuE8Xtn2Cserj9MpuhOPDX2MMe3G4LBZ9I+81sZMkPIj8NGD0HYQjPs7ZI227AyR6no3IQEO7DbF6r0nyYgP4xqMHfqGdbTmMNAZMlQiLKOivoL8gnze2PkGFfUV9Evqx7ScaQxKGWTdGSKn9hkH7taWw+X/Nj53YjfEZZqby8dmrdzPzE8L+eL+EYQHOalzewh0+Pe0TRkqEa1KnaeOQHsgNmXjrcK3GJA8gGk508iJyzE7mu8c2WQsSd+2AJQdel4DXq+xpaoFS1trzeq9p+iQEEpCeBC906O5rHcqHq9x4envpX2upLiFX3tyw5MsK17GvPHzCHWGsviyxYQHhJsdy7c2vArv3QEB4TDwl8amTxEpZqfyqSNltVz34mruGJHJPaM70S01km6pkWbHMo0Ut/ArWmtWHVlFt7huhAeE0yW2CwD1nnqCHEHWLG2vB7a/B6Hxxh7YHcfCBQ9B7jQI9r/FI431zoZiik5W86tRHUmJCublqf3o13BwQWvn/xMaRavg9rpZtHcRVy28ils/uZUFuxcAMKrtKGb0nmHNGSKuGmNJ+lN9YO4UWJdvfD4s3limbsHSPnOGI8Cmg6V8savkm+GQYR3jW8Re2C2BXHGLFq3GXcOC3QuYtXUWhyoP0T6yPQ8PepiLM37wyFNrWP8yLPkLVJVAmz4w6mHItvZzXr7rBLfNXs+8XwyiU1I4v7moM4EOm3VvLP8MUtyiRSqtLWXOzjnM2T6H03Wn6RHfg/v73s/wtOHYlEVfKJYdgpBYcAYZC2iSe8Dgu43hEYuW156SSrxeTVZiOF1TIhjZOZEAh/H7K1fXP0ymA4oWZ27hXB5f+zg17hrOSz2PqTlT6Z3Q27pXXsd3wMp/wua34KLHIXfqt/OyLczl8TLw0SX0TIvixRvlZMQmnw6olNoPVAAewN3Yby5EYxWeLiQ6MJr4kHjSwtMY1XYUU7pOse4eIgAHVhtT+goXgyPYuNnY4XzjaxYt7dV7T7Jw82H+PDEHp93GU9f0IisxzOxYfudchkpGaK1P+CyJaLVO1Z7i6vev5vou13Nv7r0MSB7AgOQBZsfyLa3hwweMU9OH/wb63gKhsWan8gmXx4tNKew2xd6SKpZsP86d59eRGBHEwA7WfM6+1qihkoYr7tzGFrcMlYgf49VePj/wORtLNnJv7r0AfHbgM3ITc4kMtOjcXHc9FMyDr/4N178NITFwcg+EJxmHGFjUwVPVTHphNQ9cmM34HinUu70ohSV26Gtqvlg5qYGPlVIaeF5r/cJPTidarXpPPQv3LiS/IJ/95ftJDUtlevfphAeEc0H6BWbH8426CmPTp9XPQPkhSMwxTp4JiYHYDman84mTlXUcOFVNr/RoUqKC6dc+hsQIY7rmmRuP4udp7BV3itb6sFIqAfgEuFNr/cV/PWY6MB0gPT29T1FRkS/yCj9UUV/B3MK5vLbtNUpqSugc05lpOdMY2XakdTd9Aqg+BU/1hprT0G6oMUMk8wLLjl+fce2/V1N8uoalvx6OzWbt59qUzuWK+5xnlSil/ghUaq2f+KHHyFCJACipLuG17a/x1s63qHRVMiB5AFNzpjIweaB1Z4ic3AP7l0OfG42Pv/y7cYZjah9zc/nQnpJKXli2l4cmdCEkwMGW4jKCA+xkJshNx3PRpEMlSqlQwKa1rmh4fzTw8M/MKCzO5XFx+XuXU1Zfxqi2o5iaM5WusV3NjuU7hzbAipmw7T1wBkPn8cZwyNB7zE7mE1prXB5NgMPG6ap6PthyhCtyU+nbLqZV7yHSXM56xa2UygDmN3zoAF7XWv/1x36NXHG3TttPbmfh3oX8OvfXKKX4tOhTOkV3Ii0izexovlOyExb9GvZ9AYER0Pcm6P8L46ajRdW5PVz1/GqGZcVx72jjjM7KOjdhgRYe9moGTXrFrbXeC/T42amEJWmtcWs3TpuTHad2MH/3fCZlTyItPI2RbS16arjHDdUnjHIOjDCm9I36M/SZAkERZqfziVqXh00HS+mfEUugw06f9Gg6xH87FCKl3bxk5aT4SVxeFx/u+5D8rflcmnkpk7tMxuVxUe+tJ9Rp0elt9dWwcTasfAqi0mHKQuPzZ/bBtrCH39/Ga2uKWPXA+cSGBZodx5LkIAXhM9Wuaubvns+srbM4UnWEDpEdSAk19oJ22p047U6TE/pA9SlY+yKseQ6qT0JqX2M45MyydAuW9qmqep5duptr+qWTER/G1MHtGNklgZjQALOjCaS4RSOdrj3NnB1zmLNjDqV1pfRO6M1v+/+WoalDrbvp0xmb5sDnf4WsMTB4hnGeo0Vnxbg9Xhx2Gx6v5vU1B+gQH0ZGfBhpMSGkxYSYHU80kKES8aOOVB4hf2s+83fNp9ZTy/C04dyUcxM9E3qaHc13jm2DFU8a+4b0uNpYRFN6ABItPCsG+PXcTVTWunlusjF1sbzWRUSQBV9BtVAyVCJ+Nq/2YlM2dpXuYm7hXMZljGNK1yl0iLLmaj+0hqKVxpS+XR+DMxSSuhlfCwy3ZGl7vZqv9p9iQIaxX0h2UjiVdW601iilpLRbMLniFv/B4/Vw55I76Rjdkbv73I3WmpKaEhJCEsyO5lvv/hK+fs3YD7v/L6DvzcY8bAubu+4g983bzNu3DaRPW2s/V38gV9zinHi8HjaVbKJ3Ym/sNjttwtoQHxIPgFLKmqXtroMtcyF7nHEEWPZ4SO4JPa+DAGuO5da5Pby6qoiOieEM6xjPxd2TCXDY6J5qvSPQrE6KuxWr89Tx3p73mLV1FkXlRbw78V0yojL47YDfmh3Nd2rLYX0+rH4WKo6A123Mv+401uxkPuPxauw2hV0pZq3azwXZiQzrGE9IgIOJPduYHU/8BFLcrVB5fTlv7XyL17a9xsnak3SJ7cIT5z1B24i2ZkfzHa8XlvzZOHy3rszYP+SSZyBjhNnJfOrfX+zl7Q3FfHDXUBx2G+/fMYSoEJnS5++kuFuRY1XHeG37a8wtnEuVq4pBKYOYljONfkn9rLvpU9UJCI0z5lof3QwdRsCQuyGll9nJfGZLcRlZiWEEOe2kxYTQKz2K6no34UFOKW2LkJuTrcSjax7lrcK38GovY9qNYWrXqXSO7Wx2LN8pXg8r/gGFH8GdGyAqzViqbrf2tUrBoTLGPbWcv16aw3X9LfwKyoLk5qQAjE2fsmOyUUoR6AjkiqwruLHrjaSGp5odzTe0ht2fGnOw938JQZEw6K5vT5ixaGkv3HyYmnoPV+am0TUlgr9d0Z0Lc6y7yZWQ4rasT4o+4Z6l95A3Jo++SX25p481txf9DxVHYM4kCEuEMY9A7xuMOdgW5PXqbw4peHt9MVV1Hq7ok4pSiqtyLbwbowBkqMQyXB4Xi/cvJtAeyJh2Y6h11zJ/93wmdphIiNOa09uorzLmXh/dAhP/ZXyuaCW0yQWHdcdyP912jD++v5X37hhCTGgAp6vqiQx2ymkzfk6GSlqRalc18wrn8cq2VzhWfYzhqcMZ024MQY4grsm+xux4vlF1Er56wXirOQXpA42d+wJCjH1ELOhwaQ0OmyIhIoi2sSFkJYRRWesmJjSAaNn4qdWR4vZTJ2tOMnv7bN7c+Sbl9eX0SezDHwb+gaFthpodzbf2LIE514K7BjpdZGz6lD7A7FQ+VVHrYuTfl3FFn1QenphDVmI4+VP7mR1LmEiK288cLD/IrG2zWLB7AfWees5PP5+pOVPpEW/hsy6ObjGGRdIHQEpv6H4VDLgdErLNTuYz64tOsW7/aW49rwPhQU4eu7w7fdpGmx1LtBBS3H5kS8kWrl98PXZlZ3yH8UzpOoX2ke3NjuUbWhszQ5bPhD2fQdoAuOkjY3n6hH+anc4nzmzuBPDJtuPMW1/M9QPaEhroYEKPFJPTiZZEbk62cKuPrKakuoTxHcbj1V7yCvKY0GGCNfcPOWPP5/DZw3B4A4TGN2z6dBMEW/eKc+fRCm6fvZ6/X9WTHmlRlNe6cNpsBAfYzY4mmoncnPRz373yen376xysOMi4jHHYlI2bu91scjofcdUC2jghvfwQ1JyGcf+AHtcYn7OgiloXp6rqaRsbSpvoYOLCAqlzewFkS1Xxoxp9xa2UsgPrgENa63E/9li54v5pat21vLv7XV7d/ipPX/A0bSPaUlJdQmRgJAF2i84cqCmFdS/B6ueMpegDf2mscFQKbNa92tRac+GTXxIR7OStWweaHUe0AL664p4BbAeseYy1icrqynhjxxu8vuN1TtWeontcdypdlQDfbK9qOeWHYfUzsO5lqK8wTptJ6W18zaIrHItOVjFvfTG/GtkRm01x/9hOxMnBu+InaNTfEKVUKnAx8FegFSzBax5Hq47yyrZXmFc4jxp3DUPbDGVazjT6JPax7qZPZyy4DfZ9AV0vNab0JVt3VsyZoa8NB07z/Bd7ubh7MtlJEZyfnWh2NOGnGntpMxO4H/jB9cNKqenAdID09PSfn8zCdp/eTf7WfBbtXYRGc2H7C5maM5WO0R3NjuY7B9fCyn/ChX+DiGRjSbozBGIsOisGKK2u5xevreeyXqlc1TeNcd1TGJIZT3y4XGWLn+esxa2UGgcc11qvV0oN/6HHaa1fAF4AY4y7yRJa0Owds/mk6BOuzr6aG7rcQEqYRad6aW2c37h8JhxYacwKKdluFLcFz3AE45T0/SeryEwIJzLYSUiAA4fdePXktNuktEWTOOvNSaXUo8BkwA0EYYxxv6O1vv6Hfo3cnPxPB8sP8uDyB7k39156JvTkRM0JHMpBVJCFj4xy18O/z4djWyAyzbjp2GsyBIaZncyn7nlzI8t3n+DL/xlBoMO6N1dF0zuXm5O2sz1Aa/0brXWq1rodMAlY8mOlLQwuj4ui8iIAYoNjqffWU15fDkBccJw1S7uuEra/b7zvCICOo+HS5+Gur2HAbZYs7dNV9fzzs12U1bgAuGFQOx65tBtO21n/agnxk1nz9r2JKusrmVc4j1e3vUqIM4QFExcQ4gzhzXFvmh3NdypL4Kvn4at/Q22pUdQxGXDBH8xO5jNnbjgeKq3hH59RGRBBAAAVJUlEQVQWkhEfyrjuKfRMs+A/yKLFOafi1lovBZb6JImfO1Fzwtj0acebVLgq6JfUj2k507ApC195VZbA0kdh42zj1PTsi2Hw3UZpW5TWmvvmbSY2LIDfXNiZnDaRfHHfCNJiLLp1rmiR5Ir7ZyoqL+LlrS/z3u73cHldjGw7kmk508iJyzE7mu/UVxmnytjsUPA2dLvSOGkm3pqzYrTW7CmpIjMhrOE0IRuB9m//QZbSFs1NivsnKq0t5eHVD/Np0ac4bU4mZE5gStcp1j0pXWvYt8yYIVJbBrcsgZAYuGfbt0eDWdSLX+7jsQ93sOy+4aRGh/DXS7uZHUm0clLc50BrzZGqI6SEpRAWEEZxRTE3dbuJ6zpfR1xwnNnxfMPrgW3vGuc4HtloHAs24Dbj83aHJUu7zu3hnQ2H6J0eTaekcC7unkxwgF1WOYoWQ4r7HDz61aN8tP8jPrr8I4IcQbw57k3rr3Dc/BYs+AXEdIDxT0L3SeAMMjuVT9XWe/nLwm1MGdyO+5KySYkK5voBFn0lJfySFPePqHHXsGD3AoalDqNNWBvGZYyjc0xn7MqYn2vJ0q45DWtfhIhU6HmNsSQ9MMw4bcbCmz49t2wPm4tLeea6PkSGOFk0YyjpMnYtWigp7u9RWlvKnJ1zmLN9DqfrTlPnrmNKzhS6x3ene3x3s+P5RlkxrHoG1r8MriroM8UobmcQdB5vdjqfKDpZRXpMCEop7EphU4p6t5cAh422sdYbAhLWIcX9HYcrD/PKtld4Z9c71LhrOC/1PKblTKN3Ym+zo/nW8n/Akr8YNyBzLjM2fUqy9g24L3eVcEPeV8ya2o9hHeO5ZZh1pzAK65HiBgpPF5JfkM/ifYtRKC7KuIgpXaeQFZ1ldjTfObAaYjMhNA4SukDuTcay9GhrjuVqrVm6swSHXTE0K55+7WP49ehOdE2RXYqF/2n1xf3K1ld4fN3jBDuCuSb7Gm7ocgPJYclmx/INrxcKP4QVM+HgGhj+IAz/H+g4xnizMK3hkUXbaRMdzNCseAIddn45ItPsWEL8JK2uuD1eD0sPLiUtIo2O0R0Z0mYINe4aJmVPIjIw0ux4vrNxjlHYJTsgKh0ufBx6XWd2Kp/6sOAoL365lznTB+C023jpxr4kR1l7RoxoHSy8Hvv71bhr+N2K3/HWzrcAyIjK4NYet1qztN11376/YyHYnHDZi3Dn19B/uiXnYJ+srKO63g1AoMOGzaY4UWn8f0iPDcFpb3V/5IUFWf6U94r6CuYWzmXNkTU8N/I5lFIUni4kIzIDh82iLzgqj8PqZ2F9Ptz0KcRlGqsdAyOMsxwt6khZDSOeWMq9ozpxy7CM/zh0WYiWTk55B0qqS3h1+6vM3TmXSlclA5IHUFZXRlRQlHVPmjm5B1Y+BRtfB0+9MY3vTHEFWfAVBVBwqIx9J6oY3yOF5MhgZlzQkRHZCYBF59kLgQWLe1/ZPmZtncV7e97Doz2MbjuaqTlT6RLbxexovlVXAc8NBa/bmH896C6I7WB2Kp97dukevj5wmgtzknDYbdw23PrPWQjLFPfmks3kFeSx5MASAuwBXJZ1GTd2uZG0iDSzo/mG1rBnCez+DMY+AoHhcNkLkNoXwq17CO2W4jL++P5WnrmuN4kRQfxuXOeG48Fk7Fq0HpYobrfXzb3L7qXaVc0t3W/h2uxriQ2ONTuWb3jcsG2BMUPk6BYIT4Yhd0NYAnQeZ3Y6n6h1eaiqcxMbFkhksJOyGheHS2tIjAgiOTLY7HhCNDu/vTm5+shq8gvyeer8pwiwB7D95HbaRrQlxGnh/SWOFsAb10JpEcR1NIZDul8FDuvuWuf2eBnxf0vp3z6WJ67sASA3HYUlWfbmZLWrGpfXRWRgJF6vl2NVxzhadZT0iHQ6x3Y2O55vVJ+C0gOQ0hNi2kN8Jxj7KHS8ECx6ruGRshqW7izhmn7pxrj1eZm0j/t26qKUtmjt/OKK+3TtaV7f8Tpzdszhkg6X8Ou+v0ZrjUZb92iw0oOw6mnYMAsiUuCOdZaeyvdd//xsF//8bBfL/+d8kiJlwYxoHZr0ilspFQR8AQQ2PH6e1vqhnxexcYorinll2yvM3zWfWk8tI9JGMKrdqDO5UFiwyEoK4csnYMs8o6i7XQmD7rR0aR8rr+W38wu4eWh7BmTEcuOgdlzaq42UthA/oDFDJXXA+VrrSqWUE1iulFqstV7tq1A7Tu0gryCPj/d/jFKKcRnjmNp1KhlRFt3BTetvT5Q5VgDbF0L/W2HA7RBlzVkxXq/mRFUdCeFBRAY7KTpZxbHyWgAig51EBjtNTihEy3XW4tbGWEplw4fOhremH18Bdp7ayd/X/52Vh1cS6gxlcpfJXN/5ehJDLTq9zeuFnR8Yx4JljYHz7oMuEyFjuHGeo4Xd+tp6jpbV8t4dgwly2vn4V8Nk7FqIRmrUzUmllB1YD2QCT2ut13zPY6YD0wHS09N/cqDC04XM6D2DqzpdRUSARbfcdNfB5jdhxT/h5C6IbvftlbXNbsnSrqxzM//rQ1zTNw2H3cYVfVKpqfegtTEKJKUtROOd081JpVQUMB+4U2td8EOP+zk3J11eF06bxV8mvzPdKO6k7sYc7M4TjWESC/to61FufXU9r97Uj6FZ8WbHEaLFOZebk+c8q0Qp9RBQpbV+4oce05I2mWoRKo4amz7lTjWuro9sguqTkDHCsjcd69weHn5/G11TIrm2fzper2br4XK6pVpzzxQhfq6mnlUSD7i01qVKqWBgJPC/PzNj63BiN6x8Eja9YewhEptpFHdyD7OT+czJyjpiwwIJdNjZd6KK2DBjcZDNpqS0hWgijXl9ngzMahjntgFvaa0X+jaWn9Ma3r4ZCt42VjX2mgyD7oAYi86KafCPTwqZtWo/Kx84n5AAB6/d1B+bzZqvKIQwU2NmlWwGejVDFv+mNRSvg7S+xvBHeBIMvRf6/wLCrDmm6/Z4WVRwlEEdYokLC+T87ASCA+zffF1KWwjfsPYdsebgccHW+caUvmMFcMvn0KY3jPmr2cl87sCpama88TW/uTCb6cM60CMtih5pUWbHEsLypLh/KlcNrJ9lLEsvOwDx2XDJs5CYY3Yyn3p+2R7KalzcPzabjPgw3r5tED1TpayFaE5S3OfK6zU2d/K64fNHIKEzXPQ3YwGNRTd9Ol1VT3RoAABFp6o5XVX/zQ59vdOjTU4nROsjxd1Yp4tg1b+MceybPzMOLrh9FUS2MTuZTy3acoS739jI4ruH0iE+jD9PzMEuY9dCmEqK+2yObjHGrwveAWWD7leDq8oobguWttaatftPExHsIDspgn7tY5g8sC3hgcYfFSltIcwnxf1j9iyBVy+FgDAYcJux6ZMFy/q76txepr+6juEd45k5qRdxYYH8fpzFz+sUws9IcX+X1wPb3zdminS/EtoNhTGPQM9rIdi6Y7mLtxzhk+3H+PtVPQly2nl5aj86JYabHUsI8QOkuAFctbBpDqx8Ck7tgfRBRnHbnTDwl2an84mKWhehAQ5sNsXxijp2HKmgrNpFZIiTnjKlT4gWzZrTIM5FwTswsxssvNsYt77yZZhi7YWhO46WM+ixJXy87RgA1/VP54O7hhAZYvHNvYSwiNZ5xV1+GGxOY0VjcDQk5cDgu6H9MMtu+rS3pJKSijr6Z8SSGR/Gpb3a0C7OOFjZYZd/v4XwJ35x5mSTKSls2PTpTeg3HcY+YnaiZjPx6RXUuTwsnjFU9r4WogWy7CnvP9nBtbD8H8ZpM45gY3vV/tPNTuVTmw6W8uzSPcycZNxwfOyybsSFBUppC2EB1i3uM0erAHz1AhxYCef9j3GlHRpnbjYfcXu8uDya4AA7NS4PGw+Wsrekii4pEXROtuhpQkK0QtYbKnHXQ8E841iwy/8NSd2g4hgEhkFAqDmZmkFlnZuxM7/gyj5pzBiZhdYat1fjlPFrIfxC6xwqqauEDQ2bPpUfgoQuUFdhfC3cmocNn66qZ2NxKSM6JRAW6GBCjxR6phtT+ZRSOO0yLCKEFVmjuD1ueGagsUtf28EwbiZkjbLsDJEz/vbRDt7deJivfjuSsEAH94/NNjuSEKIZ+G9xn9oHW+bBsF8bB+2OeNA4Giytr9nJfOZQaQ2Pf7iDe0Z1Ij02hNuHZzJtcHvCAv33t1EIce7872/84Y3Gpk/bFoDNAZ3HQ0I29LzG7GQ+obWmxuUhJMCBw6ZYVljC2Jwk0mNDSIsJMTueEMIE/lPc5YdhwW2wdykERsCgO6H/bRCRbHYyn9Fac0PeV0QEOXn6ut4kRgSx+sELCHTYz/6LhRCW1ZhT3tOAV4AkwAu8oLV+0tfBAGPsurQIYjtASCzUlMLIP0LuNAiy5onhtS4PXxSWMLprEkopzs9OIMj5bVFLaQshGnPF7Qbu1VpvUEqFA+uVUp9orbf5LJWrBjbONjZ98rhhxkbjtPTpSy1/w/GNrw7wx/e3seiuoXRJiWDq4PZmRxJCtDCNOeX9CHCk4f0KpdR2oA3Q9MVdfQrWvgRrnoPqE9Cmj7GHiGqYi2zB0q6sc/PUZ7sYnBnHsI7xXJGbRlZiOJ2TZVtVIcT3O6cxbqVUO6AXsMYXYSheC5//BTJHGoXdboglyxqMIZEgp51Ah41FBUcID3IwrGM8YYEOBmdac2WnEKJpNHrlpFIqDFgG/FVr/c73fH06MB0gPT29T1FR0bmn0RpKdhgH8FrYo4u38/mO43w4Yxg2m/qmxIUQrde5rJxs1HpopZQTeBuY/X2lDaC1fkFrnau1zo2Pj2982v/8QZYsba01n+88Tp3bA0CvtGjGdk2i3uMFkNIWQpyTsxa3MraTewnYrrX+u+8jWc+afaeYmr+WhZuOADA2J4l7RneSwhZC/CSNueIeDEwGzldKbWx4u8jHufya1pq85ft446sDAPRvH8Pzk/swoWeKycmEEFbQmFklywFr3iFsYnVuD4EOO0opPt95nIggJ5P6paOUYkzXJLPjCSEsQvb8bCJvry9m8GNLKKt2AfD85D48fV1vk1MJIaxIivtnKDhUxrHyWgA6J0dwfnYCdR7jBmRIgP/sJiCE8C9S3D/Ryco6Lnl6BS8t3wdAl5QI/nZFDxLCg0xOJoSwOrksPAcfbz3K9iMVzBiZRWxYIM9d34d+GTFmxxJCtDJyxX0Wroa51mBM61u4+TD1buNzI7skEhHkNCuaEKKVkuL+EeuLTjHw0SVsPVwGwL2jO/Lh3cMIcMj/NiGEeaSB/suRshp2HzfOqsxMCKdP2yhsDfulhAQ4sNtkZqQQwlwyxv0dXq/mimdXkREfyqs39Scy2Mnzkxu1dYAQQjSbVl/cm4tLmf/1If4wrgs2m+JvV3QnXY4EE0K0YK1yqMTr1Xi8xq6IO45WsODrQxSfrgFgcGacnOUohGjRWl1xHyuvZczML3hv0yEALunZhhUPnC9lLYTwG62iuCvr3GwpNmaGxIcF0jEpnKiQAAACHDZZ5SiE8CutorFmzPmabUfK+fL+ETjsNp6+VvYQEUL4L0sW96HSGv79xV7uHd2R8CAnM0Zm4dXgsLeKFxhCCIuzVJOdueF4oqKO19ccYMOBUgC6p0bRMy3KzGhCCNFkLHHF7fZ4mfryWrqkRPCbCzvTIy2KNQ9eQHRogNnRhBCiyfntFbfb4+XrA6cBYwikQ3wYqVHB33xdSlsIYVV+W9xPfraLq55fxdEyYz/sP07oyuSB7cwNJYQQzcBvhkoqal3kr9jPhTlJZCWGc3XfNHLaRJIQHmh2NCGEaFZnLW6lVB4wDjiutc7xfaT/5PVqbDaF26N5btkeQgLsZCWGkxodQmq0LJoRQrQ+jRkqeRkY6+Mc3+vPC7dx62vrAWPM+sv7R3Dz0AwzogghRItx1uLWWn8BnGqGLGit2XSwFK2NaX1JEUGkx4TgbZjmFxsmwyJCCNGibk4u2nKUiU+vYNXekwDcMiyD3zfs2ieEEMLQZMWtlJqulFqnlFpXUlLyk77HBZ0T+OulOfROj26qWEIIYTlNVtxa6xe01rla69z4+Pif9D2CnHau69+WIKe9qWIJIYTltKihEiGEEGd31uJWSs0BVgGdlFLFSqmbfB9LCCHEDznrPG6t9TXNEUQIIUTjyFCJEEL4GSluIYTwM1LcQgjhZ6S4hRDCz0hxCyGEn1Fn9gVp0m+qVAlQ9BN/eRxwognj+AN5ztbX2p4vyHM+V2211o1aveiT4v45lFLrtNa5ZudoTvKcra+1PV+Q5+xLMlQihBB+RopbCCH8TEss7hfMDmACec7W19qeL8hz9pkWN8YthBDix7XEK24hhBA/osUUt1JqrFJqp1Jqt1LqAbPzNAelVJ5S6rhSqsDsLM1BKZWmlPpcKbVdKbVVKTXD7Ey+ppQKUkp9pZTa1PCc/2R2puailLIrpb5WSi00O0tzUErtV0ptUUptVEqt8+nPaglDJUopO1AIjAKKgbXANVrrbaYG8zGl1DCgEnhFa51jdh5fU0olA8la6w1KqXBgPXCJlX+flVIKCNVaVyqlnMByYIbWerXJ0XxOKXUPkAtEaK3HmZ3H15RS+4FcrbXP5663lCvufsBurfVerXU98AYw0eRMPtecBzG3BFrrI1rrDQ3vVwDbgTbmpvItbahs+NDZ8Gb+1ZKPKaVSgYuBF83OYkUtpbjbAAe/83ExFv8L3doppdoBvYA15ibxvYYhg43AceATrbXlnzMwE7gf8JodpBlp4GOl1Hql1HRf/qCWUtzfd4y75a9KWiulVBjwNnC31rrc7Dy+prX2aK17AqlAP6WUpYfFlFLjgONa6/VmZ2lmg7XWvYELgV82DIX6REsp7mIg7TsfpwKHTcoifKhhnPdtYLbW+h2z8zQnrXUpsBQYa3IUXxsMTGgY830DOF8p9Zq5kXxPa3244b/HgfkYQ8A+0VKKey2QpZRqr5QKACYB75mcSTSxhht1LwHbtdZ/NztPc1BKxSulohreDwZGAjvMTeVbWuvfaK1TtdbtMP4uL9FaX29yLJ9SSoU23HBHKRUKjAZ8NlusRRS31toN3AF8hHHD6i2t9VZzU/leKzyIeTAwGeMKbGPD20Vmh/KxZOBzpdRmjAuUT7TWrWJ6XCuTCCxXSm0CvgI+0Fp/6Ksf1iKmAwohhGi8FnHFLYQQovGkuIUQws9IcQshhJ+R4hZCCD8jxS2EEH5GilsIIfyMFLcQQvgZKW4hhPAz/w9+Zfxk/DETxwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y, ':', y+1, '--', y+2, '-.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x8641f28>,\n",
       " <matplotlib.lines.Line2D at 0x864f390>,\n",
       " <matplotlib.lines.Line2D at 0x864f780>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y, '.', y+1, 'v', y+2, 'p')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x882fba8>,\n",
       " <matplotlib.lines.Line2D at 0x882ff98>,\n",
       " <matplotlib.lines.Line2D at 0x883c390>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y, 'r:.', y+1, 'y--v', y+2, 'b-.p')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ly6aVvfvuu5x11ln1fTtC+D2bDSZPhltuMRdYQ4eawmbnnuvryBpWXl4q69dfTlFRpstxpUJo1+4G4uMn07Tp8Ws9JCdDaupOYmI6ezpU6yR8gI8YUZHwq470f8jI4z2kVqqXR46OjmZt2djA3Llz2blzZ439+EIEgiNH4I034H//g88+c+2THjMGNmyACRMgKcl3MXpSkyadXO4HBTUjJuZ24uImERYWe9LH2+2QnJwJSMJ3M22a+anu2LFjNMtLhpgqpTIBlOLV3cN4tR5jP1IeWYiaFRWZRL53r7n/3//CJZdUtoeGwvPP+yY2T8jP34bTWUhkZPeKYzZbKHFx95Oe/ixxcZOIibmDkJAWp/S83loo6nd9+CdUdQSkXAOM9JeXRx45cmStyyO/8sorxMXFkZmZSY8ePRg/fny9YhCiMQoLc505+eabvovFk44d+5WNG0eyYkUS27ZNcmuPifkz/fvvpEOHh0452XuT313hn5QHRvbLyyN/9NFHbm3jxo2r8TH33HMP93hyQq0QXrZiBaxfb/aCrerBB+GHH8w+sVaaz6C15tChb0lPf5bDh5dWHD98eClHj66iefN+FceCgvyjqI/1En4D27RpE9dccw1Dhw6V8sgi4GgN//kPPPusmWIZFmZmt7VrV3nOaaeZefZWqV/ldJawf//HZGRMJzd3jVt7y5Z/wGbzz6lFkvBPQsoji0DkcMAHH8D06SaZlysqgpkz4W9/cz3fCsm+tLSA7Ox3yMh4nsLC6v/ng2jb9noSEqYQGem/tR78IuFrrVFW+BdVja46uCxEI5CXB2+9BS+8YMogVBUcbBYHjRrlm9g8bdu2e9mz5/9cjtlsTWjffjxxcffTpEmibwJrQI0+4YeHh5OTk0N0dLSlkr7WmpycHML9taC3sJQDB2DWLPOTk+Pa1rSpqT1/332mBo5VxcTcWZHwg4NbERs7kdjYuwkNbe3jyBpOo0/45TNd9u/ff8LzCgsL/S55hoeHExcX5+swRADbudNMm3zrLSioVrixdWtTyOuuu0xpKqvIzd1AVtbLdOr0PMHBzSuON2vWi/btx9O06Vm0b38rQUFNT/As/qnRJ/yQkBA6dux40vNSUlIqVsEKIU5s3TrTP//BB671bQA6djQzb8aNg4gIn4TX4LTWHDnyP9LTp3Pw4JcANGlyOgkJk13OS0r6v5oebhmNPuELIRpGeT2yZ5+Fr792b+/VC6ZOheHDTX+9FZhiZp+SkTGdo0eXu7RlZr5EXNwkv51xUxcW+bUKIU5m9GhzRV/dxRebRH/ZZdaYbQPgdBaxd+980tOfo6AgrVqronXroSQkTAmoZA+S8IUIGBddVJnwbTZTtGvKFOjX78SP8yelpQVkZc0kM/Mliov3uLQpFYrdfhPx8Q8QEWHRwj4nYa3SCkIIDh+Gd95xLSkFcNNNZrOR22+HtDT48ENrJXtDkZn5okuyDwpqTnz8VPr330lS0pyATfYgV/hCWMqjj5odpY4dg86d4YILKtvCw2HLFlPQzCqczhJstso0FhQUTlzcJLZvf4jQ0PbExd1HTMztLrNxApkkfCEsJDvbJHsws3CqJnywTrI/enQF6enTcToL6dHjC5c2U62yNe3ajcVmC/NRhI2TdOkI4afS092PTZ5sBl7POMPMtrESs1jxP6xdexGrV5/LgQOfcPDgl+Tmrnc5Lzg4ivbtb5VkXwO5whfCjzid8NVXZmrl6tUm6UdHV7YnJcHPP8PZZ5uBWX+wdKnpburVy6zqrc4UM/uA9PTp5OWtd2s/ePAbIiN7eCFS/ycJX4hGLDg3F4DiYliwAJ57DjZurGyfNQsef9z1Mf62heDmzXD33eYDqmtXiI3tyrp10KtXAXb7XA4efJaiItfCPkoF07btaOLjJxMZKVuK1pZHE75SaidwDCgFSrTWlpsTIIRHrF0LTz7JwMWL2dr9Ou7e+1e+2dfL5ZTgYDh61EfxNaDkZJg40Xx72bQJNm2ys2QJQBOUup2EhAu59NL5jB37DDZbBO3b30Z8/P2Eh1ujsI/DkQNswOE4i5CQ6JOeXx/e+NJ3kda6lyR7IWohK8tsIdW7NyxahNKaLr8t4ut9vfmEYcSQRWSk2Wxkxw5rbB9ot7sPLpfT2sauXd3o2XMjiYlPcN556XTp8pJlkn32qmdY9qMdmMiyZbFkZ8/36Ov5SS+fEIFhV2YQzkWLa2y7jsVMeSiI9HST6K1Sdy83dx3DhxdV3I+MPITNVlng549/3MKddy4gMfGvHr8C9iaHI4e0w4+iVQkAWheRlja+7IrfM5Qna7IrpXYAhwANvKG1nlPDOROACQDt2rXru3Dhwjq9Vm5uLpGRkfWI1v/Ie7aOLVsiWbgwge+/b8NS50UM5nsAcmhFNAcBOHhWL9a/8qIvw2xAGlgLLABWcvDgXxg+/Gm0dq3t0KRJCf/85wpaty72RZAetgGYWMPxmUD3Go7X7KKLLvq11j0oWmuP/QAxZX+2BdYBg050ft++fXVdfffdd3V+rL+S9+zfnE6tlyzR+tJLtTbrYs3PncxyPVD+M3u2r0OuN6ezRO/d+5Feteps/d13VPwsW5agL7yw1O0tz5jh64gbQGGh1m+9pfWECS6Hi4sP6JSUMJe/h5SUMF1cfOCUnh5YpWuZkz3apaO13l325z5gEXCOJ19PCH/x73+bqZOXXQbffuvalnNhMrp6FTOlTN++nyotLWT37jmsWHEGmzaN4NixlVVabTRvfi5Dh+a7PKZbN1OP368VFMDpp8Ott8KcObBqVUVTSEg0SUlvopRZL6BUGElJb3q028pjCV8p1VQp1az8NnA55juMEAFv2zb49dfK+zab2Tpw9WpYmGJHDRrk+oBBg8zopp9xOA6za9czLF+eyJYtt1NQsLWiTakw2re/nXPOSePMMz/k+usjXap1zp4NIf5ezLJJEzj//Mr7L7/s0my3j2XAgCxgJgMGZGG3j/VoOJ68wm8H/KiUWgesAL7UWv/Hg68nRKNUXuqgqltuMQumwsPNjlJbt5p59hV7+KSkgNakfPddZSF7P6O1k19/7ceOHQ/jcOytOB4c3IKEhIfLipm9TkREZ8B8npV/zo0eDYMH+yDo+ti61ax6q27KFGjf3qyWmzXLrdlc0Xf3yoC0x+bha623A/67vbsQ9ZSRAS++aL7JL13quiCqaVP46CPo3h3atPFdjJ6klA27/SZ27vwrAKGhscTH30f79hMIDm5W42NGjIAVK0qYMcOP1oRmZJgNf//1L9MPtX696zLnnj3NkuhGsKuMTMsUwkMefdQk/Lw8U8isuosusk6yP3LkZ9LTn3U7Hht7F82anU1S0tv077+d+PgHjpvswSzCuuWWncTEeDLaBhYZabYQ09osg/7qK/dzGkGyB0n4QnjMgw9W3t62DQoLfReLJ5jtA79gzZpBrFkzgO3bHyIvL9XlnJCQVvTtu4L27W/GZjt5qU67HZKTMz0Vcv2VlLj/Ilu2hAkTzO2rrjLdN42UJHwh6sHphE8/hcsvNxuPVHXWWfDww/DFF6ZSQni4b2JsaE6ng+zsf7JyZQ82bLiWI0f+V9GWkfFcvZ+/UW6zmJcHM2eaTQZeecW9ffJk05Xz5ZfQt6/346ulxvE9Qwg/U1wM771nipmlll3UvvYa/OUvruc9/bT3Y/OUkpJc9uz5PzIzX6SoKMOlzRQzG0N8/AM+is7DPvywco7oSy/BvfdCWJXyy3a7X8yikit8IU7B0aMwYwZ07Ghm2qRW6cF47TUoLT3+Y/1VcfF+dux4jOXLE/j99/tdkn1QUCRxcfdz7rnbOeOMuTRteqYPI/WgP/2JioGF4mJT5c0PyRW+ELWwd6+ZQv3qq3DkiGtbs2Zwxx0waRIEBfkmPk8qKNjCrl1/czkWEtKGuLh7iYm5k5CQlj6KzAPWrzdf2555xrVYUVgY/O1vpmvnllsgIsJ3MdaDJHwhTmDrVnNFP28eFBW5trVrZ5L8HXdAixa+ic8TtNaoKh3pUVEDad58AEePLiM8vBPx8Q9it99EUFATH0bpAQ8/bBI9QNu27qVIb77Z+zE1MEn4QtRg1SqzTuaTT8xsu6q6dDFjdDfcYJ2BWK01hw4tJSPjWVq3TiY29g6X9tNO+zvFxXtp0yYZpSz4NQZg4MDK23PmwLRp5uubhUjCF6KM1rBkiUn0//2ve/s558DUqfDHP1qn60brUvbv/4T09GfJzV0NQEHBDmJibnNJ7C1aXOirEBteYaFZCXf11a7Hr7oKevQwtW+mTLFcsgdJ+EJQUmJWvU6fbqZPVnfFFSbRX3hhI50yWAelpQVkZ88lI2MGhYXbXdoKC3dw9OgKoqLO81F0HqK16Z974QXIzja/7J5VigEoBb/8Yp2vbTWQhC8C3pw5pp5NVUFBppjZlCnmos8qHI5D7N79KpmZr+Bw7HNps9nCsdtvIT7+AZo0Oc1HEXqQUrBihUn2YAZn51fbYcrCyR4k4QvB2LFmvO7IETP5Yvx4UxolMdHXkTWsnTufJD19Ok5nnsvx4OCWxMbeRWzsREJD2/ooOg8oLHRP4FOnwscfmymW/QJv11VJ+CJg7NplatuMGwe9quwH3ry5SfgFBeZKv3Vrn4XoUU5nsUuyDwuLJy7uftq3H09wsIV2EVu+3AzEpKeb0feq/XD9+sHnn5uNCKounAoQkvBFQHj1VbNQsrTUzKlfsMC1fcoU38TlKfn5aUREJLkci4u7h8zM5wkP70RCwhTath2NzebvBeerOXwYLr7YfHqD2V3msstcz7nmGu/H1UjISlsREPr3r1wF++GH5mrfakwxs89YvXogK1Z0Iz9/m0t7aGhb+vRZydlnr8duv9F6yR7Mgohbbqm8/9NPvoulEZIrfGEp5cXMLr3UdVZdnz7mWEmJ6cZNSPBdjA3N6Sxm7973yMh4jvz8yloPmZnPc/rpr7mcGxlZ+82xG7XcXHjrLVOp8sYbXdseeMC0T54MZ1q01EMdScIXllBUBO++ayZebNliFknef7/rOZ9+6rcr4mtUUnKMPXvmkJHxIsXFWS5tSoVg2S/wK1fCH/4Ahw5BfLzZHqvqXogdO8LcuT4LrzGThC/82pEj8MYbpoDhnj2Vx194Ae6+G0KrlGD3h2S/dKmZWNKrl9kVqybFxXvJzHyF3btfpaTEtSZzUFAzYmJuJy5uEmFhsV6I2Ae6d6/cUCQjw/TRjRnj25j8hCR84VeCc3MBk9xfeglef91UsKyqeXNT9qCoyDXh+4PNm80Hlc0GXbtCbGxX1q0zJdZ79QKbbQsrV/ZAa9fCPiEh7YiLm0RMzB2EhFiosM+aNRAba2rblGvSxIzAv/OO2WVm2DDfxednLPqdT1jO2rUwbBgDhwxhdeIwhiSsZfp012Tfvr1ZLZuRYWpg+ePK+ORkM4vQ6TQVeJcssTNpElxwgfkg69evCx9+WFnUq0mTLpx++hz6999Jhw4P+X2ydzhygA04fllium369DFzaat74AFIS4M//9l8AIhaOWnCV0qdrpRaqpTaUHa/h1LqUc+HJgSQlWWu4Hr3hkWLUFrTZ9ciVpb05hOGEUMWSUlm/G7HDjNO17y5r4OuO7vdJPeaaA2pqYpLLz2TZs3O5swzP+acc1KJibmNoCD/XyGanT2fZctigYksy7+abOc3puG119y/xjVp0mj2ifUntbnC/z/gL4ADQGu9HhjlyaCEAJPgvv0uCOeixTW2X8di3nw7iE2bzEw8K6yjcTpLuOKKVRX3IyMPYbNV7qoyejRcd92F9Onzi3UqV5aU4HDkkJY2vqKrSisHaVMUjhbKFDM6dszHQVpDbRJ+hNZ6RbVjJZ4IRggAh8OUOOnZEy67wc4PDKpoy6FVxW114SCuvNmOzQIdk6Wl+WRlzWbFitNJSroGpZwA5Oa2xOk0ST0y0tT+Ukq51Kv3W4cOwd//DvHx5G/62m1cQodo8n/6ABYuNP34ot5q853ogFKqE6ABlFLDgT0nfogQdbNyJQwfblbFl/uIEQzmewCiOVhxXI0c6e3wGpzDkUNW1myysmbicBwAoFUr6NHjB9atG+xy7rRplbvsWcIdd5gZNkDE61+gRoW5JH2lwojocrGvorPZiZ3VAAAgAElEQVSk2lwb3QW8AXRVSmUBk4A/ezQqEbA6d4aDlTmdpk0h+rZkdPUrWqX8enZGYWE6W7dO4uefE9i58/GKZA8QHNyKoUNdC5x161a5h7Zl3Htvxc2QJStI6vw6Spl+OaXCSEp6k5CQaF9FZ0knTfha6+1a60uBNkBXrfX5WuudHo9MWN7One4lDlq2hNtvhzZt4KmnzJX+k3PsqEGDXE8cNMiMcPopc1X/Mk5nfsWxsLAEOnd+mfPOS+f22692qfk1e7br2iK/8tNPZjS9+tZhAwaYwZd58yA1FXvsOAYMyAJmMmBAFnb7WJ+Ea2Un7dJRSv212n0AtNZPeigmYXFbtpjuiQ8/NKWJqy+KfPRRk+xdZtulpJT9kcLgwYO9E6gHxcXdS2bmS2hdTNOmZ5GQMJU2bUZW1Lex281n2vffm4Fav3zLTqcpXFa+fdg115hdZKp66y2Xu+aKvrtc2XtIbbp08qr8lAJXAokejElY3MGDplplaSm8956ZN19VixbWmFqttZP9+xexZs0FFBa6fpUJC4vhtNP+wVlnfUW/futo126MWzGzESOgSZMSZszwZtQNyGaDTp0q70+f7rtYBFCLK3yttcvW7UqpGcBnHotIWEppqfmpuuK1f39z9frDD+bK1Woz7pzOIvbunU96+nMUFKQBkJHxAl26vOxyXnz8fSd8nuRkSE3dSUxMZ4/F2mCOHYPt2123DASzEvbdd83XlMmTfRObqFCXCW0RgAX3PxMNqbDQbB14xhnmz+peeMHsTbFkiRmQtIKSkiOkp09n+fKOpKWNr0j2AHv3vktpaeEpPZ/dDsnJmQ0dZsM6cgQeecSUHx02zJQjrer002H3bnj7bfOPQfhUbfrwf6NsSiYQhBm8lf57UaPDh83CyJdfNhuNgKlceccdrgsj+/b1TXyeUFS0h8zMl9m9+zVKS11XhAYFNScm5s/Exd1bp9WwjX66fVCQ+YUfPmx+PvkErr/e9ZyWLX0Tm3BTm3n4VbeHKQH2aq1l4ZVwkZVlSp688YYpRV7V4cOmLoyVNgMHKC3NY9u2SWRn/xOti13aQkPblxUzu53g4CgfRegBTicuK90iI021t6eeMnNqrbDc2cKOm/CVUuVLGqv3sDZXSqG1Plj9MSLwpKaaGvTz55sVslXFxpqa9Lfd5p+FzE7GZovg6NEVLsm+SZMkEhIm067dWGw2iyQ/rU3f2/TpMHAgPPGEa/vEiebTfOhQc8UvGq0TXeH/iunKqelLpUb68QPasmVmn+jPahi+P+MMs0fsn/7kf+WJj0drjcOxj9DQdhXHlFIkJEwhNXUszZqdS0LCVFq3/iNKWaDWQ1VffgnXXmtur1ljfrlVi/W3aWOWR4tG77gJX2vd0ZuBiMbP6YSvvjKJ/scf3dsHDjTbB159NZaobwPgdDrYt+8DMjKmA4p+/da61LFp0+Z6wsI6EBU10Br1bWpyxRVmF6kdO8wg7Q8/wJVX+joqUQe1qi+qlGoJdAEqRp201j94KijRuBQXm3nzzz0HGze6tw8ZYi76Bg70fmyeUlqax549b5GR8TxFRZWFfQ4e/A/R0ZXJzmYLpkWL830RYsM7eNAs6R092vTHlwsONjNx1q41fXQd5VrQX9Vmls544F4gDlgL9Ad+BqSqkcXl5ZlB2BdfhMxqswNDQsyucpMnW2daJUBx8QGysmaRlTWLkpIclzabLYLCwp2+CczT3nrL1LbJyzMj8K+/7tp+662+iUs0qNpc4d8LnA0s11pfpJTqCjxxkscICygoMGUOCgoqj0VGmlo3kyZBXJzvYmtoBQU7ycx8nj173sLpLHBpCwlpTWzsRGJj77Lukv9OnUyyB1PrYto0v65VJGpWm4RfqLUuLKvBHaa13qyUSvJ4ZMLrtHad9926tbmwmzXLbCl6771mRzmrTavOzn6XzZtvxlQOqRQenkh8/IPY7TcTFOQHO6DXhtZm4LVPH9fjF14IZ59tVsxNnQrRFv1gC3C1SfiZSqkWwGJgiVLqELDbs2EJb1q92gzEtmzp/k3+gQege3e48UZr1LepSYsWF2KmGpv7kZG9iI+fSps2w7HZLLSN3uefmw1Hli8306zOO6+yTSn44gsz48aqg8+iVrV0hpbdnKaU+g6IAv7j0aiE16xbV7nqNTQUHn/cbAZeLjHRdOFYgdalHDiwmObNzyMsrHInkfDwBNq2HU1RURYJCVNp2fIya864+eQTk+zBzKlftMi1vW1b78ckvOq4k+eUUl8qpcYopSom3Gqtv9daf6arLysUfqtHD1PMDMxsnC++8G08nlBaWsju3XNYseIMNm4cTmbmS27nJCW9Sa9eS2nV6nJrJPvqtefBTKUC88netq2ZZysCyolmS8/BlFXYqZT6QCl1nVLKIstoAk9BgSl58vHHrseVgr/8BUaNMl07t93mm/g8weE4zK5dz7B8eSJbttxOQcFWAHbvfh2H47DLuTabRf5p79ljfqHnneee0Lt1M0XMdu4006+sslhC1NqJFl59CnyqlGoCDAFuAl5XSn0FLNBaL/FSjKIeDh6EV1+FV16B/fuhSxf3FfBDhpgfqygqyiIz8yV2736D0lLXyiDBwS2IibnTR5F5mMMBvXrBvn3m/mefwXXXuZ5z883ej0s0GrXZ4rBAa/1BWV/+5UBvpA+/0cvIMGtkEhLgscdMsgfYuhUWL/ZtbJ6Sl5fK5s23sHx5RzIyZrgk+9DQWDp1ep7+/dM57bSnCQlp4cNIPSQkBMaNq7xftkG4EOVqs/CqHTASGAW0Bz4C5DKhkdq40YzHvf++e2nyhATzIfCHP/gmtrpYuhTCw82Fa9XyLdVprdm4cQT5+a5LgSMiziA+fgrt2v3JOt02WsPXX8OhQ2ZVbFWTJpmB2UmT4I9/9E18otE6UbXM24DRQBLwL2CK1vonbwUmTi64Sh3iH380UytrGnQ96ywzXnf99f63Efbmzab6rs0GXbtCbGzXiplFvXqZhWBgCpnFxz9AWtotADRvPpCEhKlER19trWJmO3aYbpr1683A63XXuc6Xbd/ebIQrRA1O9D9hAPAPIF5rPfFUk71SKlwptUIptU4ptVEpJatzG8ratTBsGAOHDGH3ecMY12stF1zgnuwvvNAUOly3zmwW7m/JHsw2f0qZ8cdNm2DJEjuTJsEFF0Dz5ppu3czUcoB27cZgt4+jd+8f6dPnR1q3vtavk73DkQNsKPuzTGysGZgB01c/b55PYhP+6bj/G7TWN2utv9Fa13XuVhFwsda6J9ALuEIp1b+OzyXA1DgZNgx694ZFi1BaE7N8EXPX9eYThhFDFkqZQdnlyyElBa66yr/X0djtJrnXRGtFaioMGGDu22yhdO36DlFR/l/FLTt7PsuWxQITWbYsluzs+aYhNNT0y0VEmKXPUrVSnAKPXf5oo7zPIaTsp4bJwaK2juUHoY8z4nodi7l+dBCpqfCvf8G553o5OA8pLt7HxRd/XnE/MvIQNltlCYTRo81G6Fbi2LmetI3j0LoIAK2LSEsbX3mlP2ECpKfDSy9Bhw4+jFT4G6VrWqABlE2/vFNrvbPOT65UEGYjlc7AbK311BrOmQBMAGjXrl3fhQsX1um1cnNziSzv0LWg4mIbo0b151+HLmcwpo82h1ZEY77e7+/Wm42zX/BliA1sN/AB8B8OHmzJ8OG70dr1+qRJkxL++c8VtG5trXWAzTZ9yLFur9XQMhPo7u1wvM7q/5drUp/3fNFFF/2qte5Xm3NPlPBHAn8D5gHTtdaOGk+szYuYWjyLgIla6w3HO69fv3561apVdXqNlJQUBlvtUq+a22+H4Dmzmc3d7o2zZ8Od/j+/vKBgO9u3P8z+/R8Blb2JkyZ9x7p1g13OnTHD1PqxGkfxAZZ93xYdUvl/U6kwBgzIsm61zioC4f9ydfV5z0qpWif8E/Xhf4iZc98cWKWUelApdX/5z6kEpLU+DKQAV5zK4wLVypVmQWR1Dz4I6zsno6t3yitl+vYtQbsl+8jIvowa1dzlrG7d4J57vBxaQyotNbVtzj0Xfv3VpSkktDVJQVNR2oyyKxVGUtKbAZHshWedrA/fAeQBYUCzaj8npJRqU3ZlT9lq3UuBzfWK1uIOHYKLL4ZzzjFTEcsXS5Xr0gV+2GJHDRrk2jBokF/WLte6lNLSfJdjTZp0ok0bsz9qy5aX07PnUvr2Xcm4cX1cBp9nz/bPWUcVHnzQ7AO7YoWZT1uN/eJnGHD+HmAmAwZkYbeP9X6MwnJOVDztCswOVxFAH63141rrJ8p/avHc7YHvlFLrgZXAEq21BUtzNZwWLeBwWYmXggKYOdP9HKUw02+0JuW778winJQUL0ZZf6WlBWRlvcYvv5zOrl1/d2vv2PEp+vZdTc+eX9Oy5cUopbDbzecaWGSg9qabKm9/+WXlVMsqzBV9d7myFw3mRFf4jwAjtNYPaa3zT3BejbTW67XWvbXWPbTW3bXWT9Y9TOvJzzeLiqpSyuw9ERRktg8cMcI3sXmKw3GIXbueZvnyRLZuvZPCwu3s3j2bkhLXejcREafTrFlvt8ePGGEGamfM8FbEDSAryyx9rj5W1quXWQn3l7/A779Dq1a+iU8ElBMVTzvO7GdRHzk5ZgepmTOhXTv47TfXooXJyaZcsZVm2xUWZpCZ+SK7d8/B6cyr1qrIy/uNqKgBJ32e5GRITd1JTEznk57bKNx7rylR6nCYXWSuusq1vY4z0oSoKwtt59O47doFL7wAb75pru7BJP8vv4Rrr608LzjYOsk+L28T6enT2bfvPbR2LewTFhZPfPwD2O23Ehxcu+lodjskJ2diZvn6AZvNJHsw/fTVE74QXiYJ38PWrzff6BcuNBMzqkpMdC9wZhVbt04kK2uW2/GmTbsTHz+Ftm1HYbOd+qhro1w1rLX5RE9MdD1+//3m69w555j5o9U3DRbCyyThe4DW8MMP5qLu3/92b+/Z0xQzGznSXNFbUdOmrguEoqIGkZAwhVatrrLGjlJgrt4XLIDnnjODrtu3Q1hYZXt8vCkA1KWL72IUogr/rSzVCJWWmrIG/fubWSTVk/1FF8F//gNr1sCf/mSNZO90FnPgwKdUX8DXrt1NhIa2p3Xr6+jd+2d69/6+rHKlRZI9mF/41KmwYQPs3m1qUlcnyV40IhZIOb5XVAT//KdZ+blli2ubUmawccoUOPts38TnCSUlx9izZw4ZGS9SXJxFr14/0KJF5Th/UFA455yzmeDg5id4Fj8XHm7qzj/0kCnWf+iQryMS4oQk4dfDkSPw+uumhlV2tmtbaKjZfOjBB611kVdcvJfMzFfYvftVSkoq94VNT3/WJeED1kn227fD88+bqZNPPeXadscd5kr/jjtkaqVo9CTh19Fjj8HLL8Mx1ynkREXBn/9sZuT54eLX48rP30ZGxgyys+dWVHEsFxpqp0WLQWitrdVlA6bswTnnmIL8kZFmILZly8r2qCh4+GHfxSfEKZCEX0eZma7Jvn17uO8+U+CsuUUubAGOHl1FRsaz7N//CdWrWzdp0oX4+Mm0a3cDQUHhvgnQ03r3NlttbdoEubnw0UemPLEQfkgGbWshM9P92JQp5s+kJHjrLbPz3OTJ1kr2hYXprF59Dvv3f0zVZN+s2TmceeYnnHNOKjExt1kj2ZeWmk2/U1Ndj9ts5hd72WXw7bdw222+iU+IBiAJ/zi0hq++MtsEdu3qXurkjDNg2TJz4XfLLa6z8awiPDyB1q0rN8Ju1eoKevb8jj59ltOmzTDMdgcWsGSJ+eS+/vrK/RKruukm+OYbuOQSmUcv/Jok/BOYOtXMp8/Lg1dfdW8/7zzXsgj+qrQ0n6ys2WRlve7WFh8/lbZtx9Cv3zp69Pg3LVsOtl4/fYsWpp4NmHn1u3a5tlvt/YqAJX34ZaovglTKdNvceKOZL19DMUO/53DklCX6mTgcBwgJaY3dfiNBQREV50RF9ScqykJbEe/ZY0bTq/6yzz7bLJxYtw7uuguanbT6txB+KeAT/v79ppDZTz+ZLtqqeWDUKNi6FcaPh4QE38XY0AoLd5GR8QJ79ryJ01lZCNXhOEB29lxiY/1/5yw3mzaZGhfvvWdWxF16qWv7W29B27ZmJo4QFhWwCX/7dlPM7O23Te15MF25l19eeU5ICDxpoaLOubm/kZExnb17FwCuhX3CwjqUFTO7qeYH+7tXX4V588zt6dPdE/5pp3k/JiG8LOAS/po15v/7hx+aqdVVvfuua8K3iiNHlrNr15McPOhe2Kdp0x4kJEylTZsRdSpm5jceeMCUKnY6obDQlCyNiDj544SwkIBI+FrDf/9rEv0337i39+5tBmiTk70fmzccO7bSLdm3aHER8fFTaNXqD9YZhC0uNvVsPvgAPvvMdQ/Ejh1N7Yv+/c1ouxAByNIJv7yY2bPPuu0TDZhv9VOmmD/9IectXWrKt/TqZUq31MTpdLhdqbdvfws7dz5BSclBWrceRkLCFJo3P8cLEXuR1iaZr1lj7n/4odk2rKr77vN+XEI0IpZJ+MG5uRW3CwtNd+2MGbBtm+t5NpvZO3rKFOjb18tB1tPmzWZzc5vNrA2Ije3KunXmfXTvfoSjR98gM/Mlundf7JLQg4Ka0rXrXCIiTici4nQfvgMPUgqGDq1M+K+95p7whQhw/j+LfO1aGDaMgUOGUHztMN68ey0dOphaVlWTfViYOZaWZr7x+1uyB9PlpJTpht60CZYssTNpElxwAbRq1YxBg67h7bfHkZ7+rNtjW7e+xu+TvcORA2zAkbYSPv3U/YS77oJOneCZZ+CLL7wenxCNnf9e4WdlwcSJsGgRAAoI/WIR41lEK4YykZnsJpYWLUwemDjR7CHrz+x2k9x/+MG9TWsbu3Z1o3v3ZRw79jslJbm13jrQH2RnzyctbTxQxLJdkPR2E+wX73WdM9+qlalPbYXVcEJ4gP/+zwgKgsWLa2y6jsW0tQfx/POQng5/+5v/J/tyQ4bsrLgdGXkIm61yeuXll3/B9dffyLnnbrNUsnc4ckhLG19RpVOHQtpdBTjeetH9ZEn2QhyX/17h2+0waBB8/z0AObQiGrMcdl/SIH5Zbyc01JcBNqzS0kJ+++1KOnZMRandaG0jN7eyTG/Tpg7efvsq2re3SMIrKTHVKVu0ID8/za0ksw6F/L5tifJReEL4I//ODiNGVNwsT/YA9ntGWirZg9lBymaLoFWrvfTo4d6n88QTIcTG+vevEzDz42fPhtNPN3PngYiIJJRyrU6nVBgR/UfU9AxCiOPw7wxRPopZlVIwbJhv4mkgpaV5HD26yu14QsIUlArm2mtdi3t16wb33OOt6DxszRozFWnHDrMSLiuLkJBokpLerEj6SoWRlPQmISHRPg5WCP/i3wm/vFunqkGD/HarqeLi/ezY8Vd+/jmB3367htLSQpf2qKhB9O+/i7vuusnlc272bNc1Rn5t4EAYMMDcbtYMNm4EwG4fy4ABWcBMBgzIwm4f67sYhfBT/p3wAVJSQGtSvvvOLL5JSfF1RKesoGAHW7bczfLlHdi16ylKSg7icOxl795/upynlCIsLMblc270aFPo0e/89hvccAP8+KN72xNPmP0j09Ndal2YK/rucmUvRB3576CtBRw7tpaMjOns2/ch1YuZhYd3JDj4+EOSI0bAihUlzJjhh7/CV14xm/4CHDrkPmf+0kvdi5sJIerND7OFf9Nac/jwd6SnP8uhQ+6FfSIjexEfP5U2bYZjsx3/15OcDKmpO4mJ6ezJcD3jiivMWIvW8OWXZvORTp18HZUQlicJ38uys+eRlnaz2/EWLS4hIWEqLVteWqtiZnY7JCdnAo044RcVwccfm40Fgqpsh3j66eYTy+k0NS4k2QvhFZLwvaxNm2Fs2zaJ0tIjgI02bZKJj59C8+b9Tvm5GnXBt9dfh6eegt27ITTUZQotAAsXun4ICCE8ThK+hzgch9m9+zWio68iMrJnxfHg4ObEx99PcfEe4uIeICKiEV+h10dmpkn2YMqVDh/u+gklyV4Ir5OE38CKirLIyHiRPXveoLQ0l7y89XTrtsDlnMTEv/ooOg85ehSaN3c9ds898Pzz0LIlXH+9qVUdLP/chPAl+R/YQPLyUsu2D3wPrR0Vx/ft+5COHZ+mSRMLbqH3yy9mV5n//c8slKpapL9tW1PAv29fU6pUCOFzkvDr6ciRZaSnP0tOzmdubRER3UhImEJYWJwPIvOw0lIzGLtzp7n/zjtmhWxV5QuohBCNgiT8Ojpw4AsyMp7lyBH3hUPNmw8kIWEq0dFXo5T/r22rUVCQqXUzcaK5v2GDb+MRQpyUJPw6ysx8yS3ZR0cPISFhClFRA30UlQfk5cHbb5sFUn+tNvZwyy1mxezdd8NZZ/kmPiFErUnCrwWttdvc+ISEqRw+vBSlQmjXbgzx8ZNp2rSbjyL0kPR06NMHcnJMP/ztt7tuLBARAW+84bv4hBCnxKL9DQ2juHgf27c/yqpVPXE6i13aWra8lNNOm865526na9d3rJfsAeLjoWNHc7uoSJK7EH5OEn4NCgp+Z8uWO1m+vAPp6U+Tl/cb+/a5Tq1USpGQMJnwcIsMyK5bB6mprseUMithO3aEWbPgwQd9E5sQokFIwq/i2LHVbNx4Pb/8cjq7d7+G01lZnnj//o99GJkHbdhgatv06gWPPOLePmyY2Sf2rrtMF44Qwm8FfB++1ppDh74lI2M6hw5969YeGdmXhISptGnj35uqnNDXX5s/Fy+GtDRISqpskxWxQlhGQCf8vLxNpKbeQG7uare2li0vJyFhCi1aXFyrYmZ+obDQ1LWputF39+5w9dXw1VemoJlsAi6EZQX0/+7Q0PYUFGypcsRG27aj6Nt3NT17fk3LlpdYI9kfPgzPPAOJifD55+7tM2aYbpuPPoIuXbwenhDCOwIm4TscBykq2u1yLCSkJe3b347NFk5MzF2ce+5WunVbQLNmvX0UpYdMnw4PPwx795rb1XXtCp0tWsRNCFHB8gm/sDCDbdvu4+efE9i+/WG39oSEh+jfP53TT59lzXo3YBZGhYaa27t2mcQvhAg4fpvwly6Fn34yC0Frkpe3kdTUm/jll9PIzHwJpzOPffveo7Aww+W80NDWhIa28ULEXvDzzzBunOmrryomBh57zNS72b7ddfGUECJg+O2g7ebN5sLVZjM9ErGxXVm7VpOUtJ5Wrf5GQYH7NMqIiK4UF2cTHh7vg4g9bPRos6kImKJlEya4tj/6qPdjEkI0Kh67wldKva2U2qeU8khVreRksy7I6YRNm2DJEjv33ae46qqenHfeB4wbt5H58/8CQFTUIM4660v69VtP8+ZneyIcr3M4coANZX8CZ1d5X88/b/aLFUKIKjzZpTMXuMJTT263wwUX1NymtY1du7oxcKCN3r1/pnfv74mOvsoaM25yc8lOeYRly2KBiSxbFkt29ny47TZTg/6mm+Bf/2rk+x8KIXzBYwlfa/0DcNBTzw8wcmTl7cjIQ9hspRX3R4w4ws03/42oqP6eDMF7iorgscdwdIsjrfjvaF0EgNZFpKWNxxFebDYhmTsXzjzTt7EKIRoln/fhK6UmABMA2rVrR0pKSq0f2759KEqdh9aK3NyWFcebNClh5MiNpKQUn+DRfkZr+r3/PqXNj6BDqzcV8dNPC4DuPgnNm3Jzc0/p34i/C7T3C/KePcnnCV9rPQeYA9CvXz89ePDgU3r8oEHw/feux556Kpjhw/18t6Xi4sqplOWefBLHnWNRDoUOqeyjVyqMAQNGExIS7eUgvS8lJYVT/TfizwLt/YK8Z0/y22mZ5UaMcL3frZvZP9svaQ3ffguXX2764qu7/npC5v6LpO5zUcrsE6tUGElJbwZEshdC1I/fJ/zy2TrlZs+GkBDfxVMvmzbBZZfBkiXw4Yfw+++u7cHBMHQo9vY3MmBAFjCTAQOysNvH+iRcIYR/8eS0zAXAz0CSUipTKXWrJ17HbjfdOmCmovv1N8EzzzQJv9wJ+vTMFX13ubIXQtSax/rwtdajPfXc1Y0YAStWlDBjhs+HJGrn0CF49VU47zy4+GLXtocfNgXM7r8fOnXyTXxCCEvykwx5YsnJkJq6k5gYPygA9umnMGaMqQkxeLB7wh882M+/pgghGiu/78MH062TnJzp6zBqp3dvM6ceTJfNihU+DUcIETgskfChkS4sXbbMTK+sKiHBDDaceSbMm2c+AIQQwgssk/AblSVLYOBA8/P+++7ts2fDb7/BjTf68ZQiIYS/kYTvCb/+aq7uwWw44nS6tjdr1ki/kgghrEwSfn2Vlrofu+MOk9RDQsxMnOMV7RdCCC+ShF9X2dlmCuVpp5k9Y6tq0QIWLDDFzN56yyR/IYTwMUtMy/SJq66CNWvM7TfegKlTXduvvtr7MQkhxAnIFX5dTZxYefurr3wXhxBC1JIk/BPRGr75BmbMcG8bMwaGDIGPP4b//tf7sQkhxCmSLp3jOXoULrwQ1q41RctGjjRz6MuFhppVs0II4SfkCv94mjeHqChzu6QEXnzRt/EIIUQ9ScIHyMmBbdvcj0+ZAk2amP76e+/1flxCCNGAArtLJzsbnnkG3nwTzj8fvv7atf3KKyEjA6KlBLEQwv8F9hV+Xh7MmgX5+WZwtnyaZTmlJNkLISwjcBK+1uanqk6dYPhwc7tHD8jN9X5cQgjhJdZP+E4nLFpkShwsWODe/vjj8O9/m9k4F1zg/fiEEMJLrJ/wX3kFhg2DX34xhcyqX+V36wZXXCHFzIQQlmf9hH/DDRARYW6nppqNwoUQIgBZIuE7HDkEH/kJxxP3w7Fjro3R0WZ/2Icegp07zcYjQggRgPx+WmZ29nzSNo1DR5Wy7DxI+mQv9nHvuZ701FO+CU4IIRoRv77CdzhySEsbj7aZmvQ6FNJi3seRt8fHkUNucNkAAAVbSURBVAkhROPj1wk/Pz8NrYtcjulQyC/+3UcRCSFE4+XXCT8iIgmlwlyOKRVGROQZPopICCEaL79O+CEh0SQlvVmR9JUKIynpTUJCZHWsEEJU59cJH8BuH8uAAVnATAYMyMJuH+vrkIQQolHy+4QPlF3Rd5creyGEOAFLJHwhhBAnJwlfCCEChCR8IYQIEJLwhRAiQEjCF0KIAKF09XLBPqSU2g/squPDWwMHGjAcfyDv2foC7f2CvOdT1UFr3aY2JzaqhF8fSqlVWut+vo7Dm+Q9W1+gvV+Q9+xJ0qUjhBABQhK+EEIECCsl/Dm+DsAH5D1bX6C9X5D37DGW6cMXQghxYla6whdCCHECkvCFECJASML3M0qpRKXUBl/HIbxLKTVNKfWgr+MQnqGUukcplaqUeu/kZ9ed329iLoQQFnAncKXWeocnX8Tvr/CVUouVUr8qpTYqpSb4Oh4vCVZKzVNKrVdKfayUivB1QJ6mlLqx7P2uU0q96+t4vEEp9YhSKk0p9S2Q5Ot4vEEpNVYptUIptVYp9YZSKsjXMXmaUup14DTgM6XUfR59LX+fpaOUaqW1PqiUagKsBC7UWuf4Oi5PUUolAjuA87XWPyml3gY2aa1n+DQwD1JKnQn8CxiotT5Q/jv3dVyepJTqC8wFzsV8E18NvG7x3/MZwHRgmNbaoZR6FViutf6nj0PzOKXUTqCf1tqjJSX8/gofuEcptQ5YDsQDXXwcjzdkaK1/Krs9Hzjfl8F4wcXAx+X/Gaye7MtcACzSWudrrY8Cn/k6IC+4BOgLrFRKrS27f5pvQ7IWv+7DV0oNBi4FztNa5yulUoBwnwblHdW/lvn317STU1j/PdYk0N6zAuZprf/i60Csyt+v8KOAQ2XJvivQ39cBeUmCUuq8stujgR99GYwXLAVGKqWiwXTj+Tgeb/gBGKqUaqKUagZc6+uAvGApMFwp1RbM71kp1cHHMVmKvyf8/2AGMNcDT2G6dQJBKnBT2ftuBbzm43g8Smu9EXga+L6s++4FH4fkcVrr1cAHwFrgE+B/vo3I87TWm4BHgW/K/m0vAdr7Nipr8ftBWyGEELXj71f4QgghakkSvhBCBAhJ+EIIESAk4QshRICQhC+EEAFCEr6wLKVUvFJqR/m8faVUy7L7Haqdl6KU+kO1Y5PKlvaf6PlzGz5qITxHEr6wLK11BmaNwj/KDv0DmKO13lXt1AXAqGrHRpUdF8IyJOELq3sR6K+UmoSpOfR8Ded8DFyjlAqDigJ1McCPSqlIpdRSpdRqpdRvSqk/Vn+wUmqwUuqLKvdnKaXGld3uq5T6vqyi69dKKVlIJHxGEr6wNK21A5iMSfyTtNbFNZyTA6wArig7NAr4QJtViYXAUK11H+Ai4HmllKrNayulQoCZwHCtdV/gbcyKYSF8wq+LpwlRS1cCe4DumOX6NSnv1vm07M9byo4r4O9KqUGAE4gF2gHZtXjdpPLXLPuMCCqLQwifkIQvLE0p1Qu4DFNY70el1EKtdU1JdzHwglKqD9CkrJYNwBigDdC3rEb7Ttwrspbg+m25vF0BG7XW5yFEIyBdOsKyyrpeXsN05aQDzwE1biCitc4FUjDdLlUHa6OAfWXJ/iKgpuqNu4BuSqkwpVQUpo47QBrQpryyqVIqpGwzFyF8QhK+sLLbgHStdXk3zqtAV6XUhcc5fwHQE1hY5dh7QD+l1CrM1f7m6g8qmw30IbC+7Pw1ZceLgeHAs2VVPtcCA+r7poSoK6mWKYQQAUKu8IUQIkBIwhdCiAAhCV8IIQKEJHwhhAgQkvCFECJASMIXQogAIQlfCCECxP8DDwfoBS5bh40AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y-1, color='r', linestyle=':', linewidth=3,\n",
    "marker='.', markerfacecolor='red', markeredgecolor='y',\n",
    "markeredgewidth=3, markersize=5,label='y-1')\n",
    "plt.plot(y, color='y', linestyle='--', linewidth=3,\n",
    "marker='v', markerfacecolor='y', markeredgecolor='b',\n",
    "markeredgewidth=3, markersize=5,label='y-1')\n",
    "plt.plot(y+1, color='b', linestyle='-.', linewidth=3,\n",
    "marker='p', markerfacecolor='b', markeredgecolor='r',\n",
    "markeredgewidth=3, markersize=5,label='y-1')\n",
    "plt.grid(True)  #显示图片网格\n",
    "plt.axis()      #显示当前轴限制值\n",
    "plt.xlabel(u'X Value')\n",
    "plt.ylabel(u'Y Value')   #设置XY轴的说明\n",
    "plt.title('plot test')   #添加图片标题栏\n",
    "plt.legend(['y-1','y','y+1'])   #添加说明，也可以在plot函数中，使用label参数\n",
    "plt.xticks(range(len(y)), ['a', 'b', 'c', 'd', 'e', 'f','g'])\n",
    "plt.yticks(range(1, 8, 2))      #设置X、Y轴的刻度\n",
    "plt.savefig('plot_test.png')    #保存图片"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
